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Finding the Fourth Proportional to 543,008.40, 814,512.60 and 344,210.10

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Solution

The fourth proportional to 543,008.40, 814,512.60 and 344,210.10 is: 516,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,008.40 : 814,512.60 = 344,210.10 : x
  2. Step 2: Convert to fraction form
    543,008.40/814,512.60 = 344,210.10/x
  3. Step 3: Cross multiply
    543,008.40x = 814,512.60 × 344,210.10
  4. Step 4: Simplify right side
    543,008.40x = 280,363,463,497.26
  5. Step 5: Solve for x
    x = 280,363,463,497.26/543,008.40
  6. Step 6: Final answer
    x = 516,315.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.